alpha-Kuramoto partitions: graph partitions from the frustrated Kuramoto model generalise equitable partitions
Combinatorics
2013-06-19 v1 Statistical Mechanics
Chaotic Dynamics
Abstract
The Kuramoto model describes the collective dynamics of a system of coupled oscillators. An alpha-Kuramoto partition is a graph partition induced by the Kuramoto model, when the oscillators include a phase frustration parameter. We prove that every equitable partition is an alpha-Kuramoto partition, but that the converse does necessarily not hold. We give an exact characterisation of alpha-Kuramoto bipartitions.
Keywords
Cite
@article{arxiv.1306.4299,
title = {alpha-Kuramoto partitions: graph partitions from the frustrated Kuramoto model generalise equitable partitions},
author = {Stephen Kirkland and Simone Severini},
journal= {arXiv preprint arXiv:1306.4299},
year = {2013}
}
Comments
7 pages, 3 EPS figures